Isoperimetric Inequalities
Language: English
Published by Cambridge University Press, GB, 2011
- Softcover
- New
Seller: Rarewaves.com USA, London, London, United KingdomRarewaves.com USA
AbeBooks seller since June 11, 2025
Condition: New
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This introduction treats the classical isoperimetric inequality in Euclidean space and contrasting rough inequalities in noncompact Riemannian manifolds. In Euclidean space the emphasis is on a most general form of the inequality sufficiently precise to characterize the case of equality, and in Riemannian manifolds the emphasis is on those qualitative features of the inequality which provide insight into the coarse geometry at infinity of Riemannian manifolds. The treatment in Euclidean space features a number of proofs of the classical inequality in increasing generality, providing in the process a transition from the methods of classical differential geometry to those of modern geometric measure theory; and the treatment in Riemannian manifolds features discretization techniques, and applications to upper bounds of large time heat diffusion in Riemannian manifolds. The result is an introduction to the rich tapestry of ideas and techniques of isoperimetric inequalities.
Seller Inventory # LU-9781107402270
- Title
- Isoperimetric Inequalities
- Author
- Isaac Chavel
- Publisher
- Cambridge University Press, GB
- Publication year
- 2011
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1107402271
- ISBN 13
- 9781107402270
- Item weight
- 420 grams
"Synopsis" may belong to another edition of this title.
Review
Review of the hardback: 'The book is very useful in two ways. First, it nicely explains the story of the classical isoperimetric inequality, a result with a big disproportion between the ease of formulation and difficulty of the proof. This second part contains deep results obtained by the author.' European Mathematical Society
Review of the hardback: '... very useful ...' EMS Newsletter
Review of the hardback: '[This book] constitues a valuable addition to the modern theory of inequalities.' Bulletin of the Belgian Mathematical Society
"About the title" may belong to another edition of this title.
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